Advances in the Theory of Numbers

Proceedings of the Thirteenth Conference of the Canadian Number Theory Association

  • Ayşe Alaca
  • Şaban Alaca
  • Kenneth S. Williams

Part of the Fields Institute Communications book series (FIC, volume 77)

Table of contents

  1. Front Matter
    Pages i-xx
  2. Bruce C. Berndt, Sun Kim
    Pages 1-10
  3. Alain Connes, Caterina Consani
    Pages 11-74
  4. Brian Conrey, Jonathan P. Keating
    Pages 75-85
  5. Tristan Freiberg
    Pages 87-103
  6. Yu-Ru Liu, Craig V. Spencer
    Pages 105-147
  7. Florian Luca, Emanuele Tron
    Pages 149-158
  8. M. Ram Murty, V. Kumar Murty
    Pages 159-168
  9. Claus M. Sorensen
    Pages 219-235

About this book


The theory of numbers continues to occupy a central place in modern mathematics because of both its long history over many centuries as well as its many diverse applications to other fields such as discrete mathematics, cryptography, and coding theory. The proof by Andrew Wiles (with Richard Taylor) of Fermat’s last theorem published in 1995 illustrates the high level of difficulty of problems encountered in number-theoretic research as well as the usefulness of the new ideas arising from its proof.

The thirteenth conference of the Canadian Number Theory Association was held at Carleton University, Ottawa, Ontario, Canada from June 16 to 20, 2014. Ninety-nine talks were presented at the conference on the theme of advances in the theory of numbers. Topics of the talks reflected the diversity of current trends and activities in modern number theory. These topics included modular forms, hypergeometric functions, elliptic curves, distribution of prime numbers, diophantine equations, L-functions, Diophantine approximation, and many more. This volume contains some of the papers presented at the conference. All papers were refereed. The high quality of the articles and their contribution to current research directions make this volume a must for any mathematics library and is particularly relevant to researchers and graduate students with an interest in number theory. The editors hope that this volume will serve as both a resource and an inspiration to future generations of researchers in the theory of numbers.


Breuil-Schneider conjecture Canadian number theory association Roth's theorem Sato-Tate conjecture coding theory division polynomials theory of numbers

Editors and affiliations

  • Ayşe Alaca
    • 1
  • Şaban Alaca
    • 2
  • Kenneth S. Williams
    • 3
  1. 1.School of Mathematics and StatisticsCarleton UniversityOttawaCanada
  2. 2.School of Mathematics and StatisticsCarleton UniversityOttawaCanada
  3. 3.School of Mathematics and StatisticsCarleton UniversityOttawaCanada

Bibliographic information